A homogeneous solid cylinder of length $\text{L(L}\text{<}\text{H/2)}$ and cross-sectional area $\text{A/5}$ is immersed such that it floats with its axis vertical at the liquid-liquid interface with length $\text{L/4}$ in the denser liquid as shown in the figure where d denotes density. The lower density liquid is open to atmosphere having pressure${\text{P}}_0$ . The density D of solid is given by